1167201497641 has 27 divisors (see below), whose sum is σ = 1206193703013. Its totient is φ = 1129463058240.

The previous prime is 1167201497639. The next prime is 1167201497677. The reversal of 1167201497641 is 1467941027611.

It is a happy number.

The square root of 1167201497641 is 1080371.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 756602489241 + 410599008400 = 869829^2 + 640780^2 .

It is not a de Polignac number, because 1167201497641 - 2¹ = 1167201497639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1167201497621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5865334060 + ... + 5865334258.

Almost surely, 2^{1167201497641} is an apocalyptic number.

1167201497641 is the 1080371-st square number.

1167201497641 is the 540186-th centered octagonal number.

It is an amenable number.

1167201497641 is a deficient number, since it is larger than the sum of its proper divisors (38992205372).

1167201497641 is an frugal number, since it uses more digits than its factorization.

1167201497641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

Multiplying 1167201497641 by its sum of digits (49), we get a square (57192873384409 = 7562597²).

The spelling of 1167201497641 in words is "one trillion, one hundred sixty-seven billion, two hundred one million, four hundred ninety-seven thousand, six hundred forty-one".